Question

Need ASAP PLEASE

take your die and roll it the number of times that is equal to your age 26 in years. Create a table below to document each roll of the die. Use this trial data to determine the experimental probability of rolling a two on the die. Write this probability in three equivalent forms: as a fraction, a decimal (rounded to three places) and a percentage (rounded to one decimal place).

Answer 1

2/27 or 0.074 or 7.4%

Explanation:

Step 1: Roll a fair 6-sided die 27 times. The following outcomes are obtained.

roll-

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27

outcome-

2,2,2,5,6,4,5,3,4,3,2,1,2,1,3,6,6,1,4,3,2,6,3,5,4,2,5

Step 2: Make a table for the frequency of each distinct outcome.

Outcome-

1,2,3,4,5,6

Frequency:

3,7,5,4,4,4

Step 3: The probability of rolling a two on the die is obtained using the classical probability formula as follows,

P(X=2)= factorable cases/total cases

from the frequency distribution table,

P(X=2)= 2/27= 0.074=7.4%